A mathematical investigation of a Clock and Wavefront model for somitogenesis

DOI10.1007/s00285-005-0362-2zbMath1094.92007OpenAlexW2072760327WikidataQ51952160 ScholiaQ51952160MaRDI QIDQ2500113

Ruth E. Baker, Santiago Schnell, Philip K. Maini

Publication date: 23 August 2006

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://ora.ox.ac.uk/objects/uuid:74785d4e-f362-4793-9c5f-d96c1417935c

zbMATH Keywords

travelling wavessomitogenesissegmentation clockclock and wavefront modelFGF8 wavefrontmRNA profileprotein profile

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Developmental biology, pattern formation (92C15)

Related Items (11)

Traveling wave formation in vertebrate segmentation ⋮ Adding adhesion to a chemical signaling model for somite formation ⋮ Self-organized pattern dynamics of somitogenesis model in embryos ⋮ Spatiotemporal patterns of a homogeneous diffusive system modeling hair growth: global asymptotic behavior and multiple bifurcation analysis ⋮ Synchronized oscillation of the segmentation clock gene in vertebrate development ⋮ The kinetics in mathematical models on segmentation clock genes in zebrafish ⋮ Travelling gradients in interacting morphogen systems ⋮ A delay stochastic process with applications in molecular biology ⋮ Some remarks on pattern formation in vertebrate embryology ⋮ Endogenous miRNA sponges mediate the generation of oscillatory dynamics for a non-coding RNA network ⋮ Traveling pulses with oscillatory tails, figure-eight-like stack of isolas, and dynamics in heterogeneous media

Cites Work

• A mathematical formulation for the cell-cycle model in somitogenesis: analysis, parameter constraints and numerical solutions

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